How to Convert Degrees to Arcminutes (° to ′)
Angle conversions show up in maths and physics lessons, surveying and navigation. This guide shows how to convert degrees into arcminutes by hand, with examples and a quick-reference table.
The conversion
To convert degrees to arcminutes, multiply the value by 60. To go the other way, divide by the same number (or multiply by 0.0166666667). For a quick estimate, multiply by about 60.
Arcminutes = degrees × 60
Worked examples
- 3 ° = 180 ′
- 12.5 ° = 750 ′
- 75 ° = 4,500 ′
Degrees to Arcminutes table
| Degrees | Arcminutes |
|---|---|
| 1 ° | 60 ′ |
| 2 ° | 120 ′ |
| 5 ° | 300 ′ |
| 10 ° | 600 ′ |
| 20 ° | 1,200 ′ |
| 25 ° | 1,500 ′ |
| 50 ° | 3,000 ′ |
| 100 ° | 6,000 ′ |
| 250 ° | 15,000 ′ |
| 500 ° | 30,000 ′ |
| 1,000 ° | 60,000 ′ |
Common questions
Is ° to ′ exact?
The factors used here are the internationally defined values where they exist; results are rounded for display only.
How do I convert back?
Use the Arcminutes to Degrees converter.
Mistakes to avoid
Dropping the units
A bare number without a unit is easy to misread later. Always write the unit with the result.
Forgetting squared and cubed units
Area and volume factors are the length factor squared or cubed, so 1 m² is about 10.76 sq ft, not 3.28.
Mixing similar-sounding units
US and imperial gallons, pints and tons are different sizes, and decimal kilobytes differ from binary kibibytes.
Background
Writing the units next to every number while you work is the simplest way to avoid mistakes. If the units do not cancel to leave the one you want, the calculation is set up wrongly.
Many conversion factors are exact by definition. The inch has been defined as exactly 2.54 centimetres since 1959, and the pound as exactly 0.45359237 kilograms, so conversions involving them can be as precise as you need.
For everyday use, three or four significant figures are usually enough. Engineering, science and trade documents may need more, and rounding should happen only at the end of a calculation.
For any value, use the Degrees to Arcminutes Converter or browse all angle converters.
Run your own numbers: Degrees to Arcminutes Converter